Finding the Third Proportional to 34,648 and 52,460

Step by Step Solution

1. Step 1: Write the proportion equation
   34,648 : 52,460 = 52,460 : x
2. Step 2: Convert to fraction form
   34,648/52,460 = 52,460/x
3. Step 3: Cross multiply
   34,648x = 52,460 × 52,460
4. Step 4: Simplify right side
   34,648x = 2,752,051,600
5. Step 5: Solve for x
   x = 2,752,051,600/34,648
6. Step 6: Final answer
   x = 79,428.87